WCSPH viscosity diffusion processes in vortex flows

The aim of this paper is to clarify the role played by the most commonly used viscous terms in simulating viscous laminar flows using the weakly compressible approach in the context of smooth particle hydrodynamics (WCSPH). To achieve this, Takeda et al. (Prog. Theor. Phys. 1994; 92(5):939–960), Morris et al. (J. Comput. Phys. 1997; 136:214–226) and Monaghan–Cleary–Gingold's (Appl. Math. Model. 1998; 22(12):981–993; Monthly Notices of the Royal Astronomical Society 2005; 365:199–213) viscous terms will be analysed, discussing their origins, structures and conservation properties. Their performance will be monitored with canonical flows of which related viscosity phenomena are well understood, and in which boundary effects are not relevant. Following the validation process of three previously published examples, two vortex flows of engineering importance have been studied. First, an isolated Lamb–Oseen vortex evolution where viscous effects are dominant and second, a pair of co-rotating vortices in which viscous effects are combined with transport phenomena. The corresponding SPH solutions have been compared to finite-element numerical solutions. The SPH viscosity model's behaviour in modelling the viscosity related effects for these canonical flows is adequate

Desarrollo de un sistema de reconocimiento facial

El objetivo principal alrededor del cual se desenvuelve este proyecto es el desarrollo de un sistema de reconocimiento facial. Entre sus objetivos específicos se encuentran: realizar una primera aproximación sobre las técnicas de reconocimiento facial existentes en la actualidad, elegir una aplicación donde pueda ser útil el reconocimiento facial, diseñar y desarrollar un programa en MATLAB que lleve a cabo la función de reconocimiento facial, y evaluar el funcionamiento del sistema desarrollado. Este documento se encuentra dividido en cuatro partes: INTRODUCCIÓN, MARCO TEÓRICO, IMPLEMENTACIÓN, y RESULTADOS, CONCLUSIONES Y LÍNEAS FUTURAS. En la primera parte, se hace una introducción relativa a la actualidad del reconocimiento facial y se comenta brevemente sobre las técnicas existentes para desarrollar un sistema biométrico de este tipo. En ella se justifican también aquellas técnicas que acabaron formando parte de la implementación. En la segunda parte, el marco teórico, se explica la estructura general que tiene un sistema de reconocimiento biométrico, así como sus modos de funcionamiento, y las tasas de error utilizadas para evaluar y comparar su rendimiento. Así mismo, se lleva a cabo una descripción más profunda sobre los conceptos y métodos utilizados para efectuar la detección y reconocimiento facial en la tercera parte del proyecto. La tercera parte abarca una descripción detallada de la solución propuesta. En ella se explica el diseño, características y aplicación de la implementación; que trata de un programa elaborado en MATLAB con interfaz gráfica, y que utiliza cuatro sistemas de reconocimiento facial, basados cada uno en diferentes técnicas: Análisis por componentes principales, análisis lineal discriminante, wavelets de Gabor, y emparejamiento de grafos elásticos. El programa ofrece además la capacidad de crear y editar una propia base de datos con etiquetas, dándole aplicación directa sobre el tema que se trata. Se proponen además una serie de características con el objetivo de ampliar y mejorar las funcionalidades del programa diseñado. Dentro de dichas características destaca la propuesta de un modo de verificación híbrido aplicable a cualquier rama de la biometría y un programa de evaluación capaz de medir, graficar, y comparar las configuraciones de cada uno de los sistemas de reconocimiento implementados. Otra característica destacable es la herramienta programada para la creación de grafos personalizados y generación de modelos, aplicable a reconocimiento de objetos en general. En la cuarta y última parte, se presentan al principio los resultados obtenidos. En ellos se contemplan y analizan las comparaciones entre las distintas configuraciones de los sistemas de reconocimiento implementados para diferentes bases de datos (una de ellas formada con imágenes con condiciones de adquisición no controladas). También se miden las tasas de error del modo de verificación híbrido propuesto. Finalmente, se extraen conclusiones, y se proponen líneas futuras de investigación. ABSTRACT The main goal of this project is to develop a facial recognition system. To meet this end, it was necessary to accomplish a series of specific objectives, which were: researching on the existing face recognition technics nowadays, choosing an application where face recognition might be useful, design and develop a face recognition system using MATLAB, and measure the performance of the implemented system. This document is divided into four parts: INTRODUCTION, THEORTICAL FRAMEWORK, IMPLEMENTATION, and RESULTS, CONCLUSSIONS AND FUTURE RESEARCH STUDIES. In the first part, an introduction is made in relation to facial recognition nowadays, and the techniques used to develop a biometric system of this kind. Furthermore, the techniques chosen to be part of the implementation are justified. In the second part, the general structure and the two basic modes of a biometric system are explained. The error rates used to evaluate and compare the performance of a biometric system are explained as well. Moreover, a description of the concepts and methods used to detect and recognize faces in the third part is made. The design, characteristics, and applications of the systems put into practice are explained in the third part. The implementation consists in developing a program with graphical user interface made in MATLAB. This program uses four face recognition systems, each of them based on a different technique: Principal Component Analysis (PCA), Fisher’s Linear Discriminant (FLD), Gabor wavelets, and Elastic Graph Matching (EGM). In addition, with this implementation it is possible to create and edit one´s tagged database, giving it a direct application. Also, a group of characteristics are proposed to enhance the functionalities of the program designed. Among these characteristics, three of them should be emphasized in this summary: A proposal of an hybrid verification mode of a biometric system; and an evaluation program capable of measuring, plotting curves, and comparing different configurations of each implemented recognition system; and a tool programmed to create personalized graphs and models (tagged graph associated to an image of a person), which can be used generally in object recognition. In the fourth and last part of the project, the results of the comparisons between different configurations of the systems implemented are shown for three databases (One of them created with pictures taken under non-controlled environments). The error rates of the proposed hybrid verification mode are measured as well. Finally, conclusions are extracted and future research studies are proposed.

Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile

In this work, various turbulent solutions of the two-dimensional (2D) and three-dimensional compressible Reynolds averaged Navier?Stokes equations are analyzed using global stability theory. This analysis is motivated by the onset of flow unsteadiness (Hopf bifurcation) for transonic buffet conditions where moderately high Reynolds numbers and compressible effects must be considered. The buffet phenomenon involves a complex interaction between the separated flow and a shock wave. The efficient numerical methodology presented in this paper predicts the critical parameters, namely, the angle of attack and Mach and Reynolds numbers beyond which the onset of flow unsteadiness appears. The geometry, a NACA0012 profile, and flow parameters selected reproduce situations of practical interest for aeronautical applications. The numerical computation is performed in three steps. First, a steady baseflow solution is obtained; second, the Jacobian matrix for the RANS equations based on a finite volume discretization is computed; and finally, the generalized eigenvalue problem is derived when the baseflow is linearly perturbed. The methodology is validated predicting the 2D Hopf bifurcation for a circular cylinder under laminar flow condition. This benchmark shows good agreement with the previous published computations and experimental data. In the transonic buffet case, the baseflow is computed using the Spalart?Allmaras turbulence model and represents a mean flow where the high frequency content and length scales of the order of the shear-layer thickness have been averaged. The lower frequency content is assumed to be decoupled from the high frequencies, thus allowing a stability analysis to be performed on the low frequency range. In addition, results of the corresponding adjoint problem and the sensitivity map are provided for the first time for the buffet problem. Finally, an extruded three-dimensional geometry of the NACA0012 airfoil, where all velocity components are considered, was also analyzed as a Triglobal stability case, and the outcoming results were compared to the previous 2D limited model, confirming that the buffet onset is well detected.

Caracterización geométrica y lumínica de los atrios incorporados en los edificios de Santiago de Chile

El atrio incorporado en los edificios ha sido un recurso espacial que tempranamente se difundió a nivel global, siendo adoptado por las distintas arquitecturas locales en gran parte del mundo. Su masificación estuvo favorecida primero por la rápida evolución de la tecnología del acero y el vidrio, a partir del siglo XIX, y en segundo termino por el posterior desarrollo del hormigón armado. Otro aspecto que explica tal aceptación en la arquitectura contemporánea, es de orden social y radica en la llamativa cavidad del espacio describiendo grandes dimensiones y favoreciendo con ello, el desarrollo de una multiplicidad de usos en su interior que antes eran impensados. Al interior del atrio, la luz natural es clave en las múltiples vivencias que alberga y sea tal vez la condición ambiental más valorada, ya que entrega una sensación de bienestar al conectarnos visualmente con el ambiente natural. Por esta razón de acuerdo al método hipotético deductivo, se evaluaron los efectos de la configuración geométrica, la cubierta y la orientación en el desempeño de la iluminación natural en la planta baja, a partir un modelo extraído desde el inventario de los edificios atrio construidos en Santiago de Chile, en los últimos 30 años que fue desarrollado en el capitulo 2. El análisis cuantitativo de los edificios inventariados se elaboró en el capítulo 3, considerando las dimensiones de los atrios. Simultáneamente fueron clasificados los aspectos constructivos, los materiales y las características del ambiente interior de cada edificio. En esta etapa además, fueron identificadas las variables de estudio de las proporciones geométricas de la cavidad del atrio con los coeficientes de aspecto de las proporciones, en planta (PAR), en corte (SAR) y de la cavidad según (WI), (AR) y (RI). Del análisis de todos estos parámetros se extrajo el modelo de prueba. El enfoque del estudio del capítulo 4 fue la iluminación natural, se revisaron los conceptos y el comportamiento en el atrio, a partir de un modelo físico construido a escala para registro de la iluminancia bajo cielo soleado de la ciudad. Más adelante se construyó el modelo en ambiente virtual, relacionando las variables determinadas por la geometría de la cavidad y el cerramiento superior; examinándose de esta manera distintas transparencias, proporciones de apertura, en definitiva se evaluó un progresivo cerramiento de las aberturas, verificando el ingreso de la luz y disponibilidad a nivel de piso con la finalidad, de proveer lineamientos útiles en una primera etapa del diseño arquitectónico. Para el análisis de la iluminación natural se revisaron diferentes métodos de cálculo con el propósito de evaluar los niveles de iluminancia en un plano horizontal al interior del atrio. El primero de ellos fue el Factor de Luz Día (FLD) que corresponde, a la proporción de la iluminancia en un punto de evaluación interior respecto, la cantidad proveniente del exterior bajo cielo nublado, a partir de la cual se obtuvo resultados que revelaron la alta luminosidad del cielo nublado de la ciudad. Además fueron evaluadas las recientes métricas dinámicas que dan cuenta, de la cantidad de horas en las cuales de acuerdo a los extensos registros meteorológico de la ciudad, permitieron obtener el porcentajes de horas dentro de las cuales se cumplió el estándar de iluminancia requerido, llamado autonomía lumínica (DA) o mejor aún se permanece dentro de un rango de comodidad visual en el interior del atrio referido a la iluminancia diurna útil (UDI). En el Capítulo 5 se exponen los criterios aplicados al modelo de estudio y cada una de las variantes de análisis, además se profundizó en los antecedentes y procedencia de las fuentes de los registros climáticos utilizados en las simulaciones llevadas a cabo en el programa Daysim operado por Radiance. Que permitieron evaluar el desempeño lumínico y la precisión, de cada uno de los resultados para comprobar la disponibilidad de iluminación natural a través de una matriz. En una etapa posterior se discutieron los resultados, mediante la comparación de los datos logrados según cada una de las metodologías de simulación aplicada. Finalmente se expusieron las conclusiones y futuras lineas de trabajo, las primeras respecto el dominio del atrio de cuatro caras, la incidencia del control de cerramiento de la cubierta y la relación establecida con la altura; indicando en lo específico que las mediciones de iluminancia bajo el cielo soleado de verano, permitieron aclarar, el uso de la herramienta de simulación y método basado en el clima local, que debido a su reciente desarrollo, orienta a futuras líneas de trabajo profundizando en la evaluación dinámica de la iluminancia contrastado con monitorización de casos. ABSTRACT Atriums incorporated into buildings have been a spatial resource that quickly spread throughout the globe, being adopted by several local architecture methods in several places. Their widespread increase was highly favored, in the first place, with the rapid evolution of steel and glass technologies since the nineteen century, and, in second place, by the following development of reinforced concrete. Another issue that explains this success into contemporary architecture is associated with the social approach, and it resides in the impressive cavity that describes vast dimensions, allowing the development of multiple uses in its interior that had never been considered before. Inside the atrium, daylight it is a key element in the many experiences that involves and it is possibly the most relevant environmental factor, since it radiates a feeling of well-being by uniting us visually with the natural environment. It is because of this reason that, following the hypothetical deductive method, the effects in the performance of daylight on the floor plan were evaluated considering the geometric configuration, the deck and orientation factors. This study was based in a model withdrawn from the inventory of atrium buildings that were constructed in Santiago de Chile during the past thirty years, which will be explained later in chapter 2. The quantitative analysis of the inventory of those buildings was elaborated in chapter 3, considering the dimensions of the atriums. Simultaneously, several features such as construction aspects, materials and environmental qualities were identified inside of each building. At this stage, it were identified the variables of the geometric proportions of the atrium’s cavity with the plan aspect ratio of proportions in first plan (PAR), in section (SAR) and cavity according to well index (WI), aspect ratio (AR) and room index (RI). An experimental model was obtained from the analysis of all the mentioned parameters. The main focus of the study developed in chapter 4 is daylight. The atrium’s concept and behavior were analyzed from a physical model built under scale to register the illuminances under clear, sunny sky of the city. Later on, this physical model was built in a virtual environment, connecting the variables determined by the geometry of the cavity and the superior enclosure, allowing the examination of transparencies and opening proportions. To summarize, this stage consisted on evaluating a progressive enclosure of the openings, checking the access of natural light and its availability at the atrium floor, in an effort to provide useful guidelines during the first stage of the architectural design. For the analysis of natural lighting, several calculations methods were used in order to determine the levels of illuminances in a horizontal plane inside of the atrium. The first of these methods is the Daylight Factor (DF), which consists in the proportion of light in an evaluation interior place with the amount of light coming from the outside in a cloudy day. Results determined that the cloudy sky of the city has high levels of luminosity. In addition, the recent dynamic metrics were evaluated which reflects the hours quantity. According to the meteorological records of the city’s climate, the standard of illuminance- a standard measure called Daylight Autonomy (DA) – was met. This is even better when the results stay in the line of visual convenience within the atrium, which is referred to as Useful Daylight Illuminance (UDI). In chapter 5, it was presented the criteria applied to the study model and on each of the variants of the analysis. Moreover, the information of the climate records used for the simulations - carried out in the Daysim program managed by Radiance – are detailed. These simulations allowed the observation of the daylight performance and the accuracy of each of the results to confirm the availability of natural light through a matrix. In a later stage, the results were discussed comparing the collected data in each of the methods of simulation used. Finally, conclusions and further discussion are presented. Overall, the four side atrium’s domain and the effect of the control of the cover’s enclosure. Specifically, the measurements of the daylight under summer’s clear, sunny sky allowing clarifying the use of the simulation tool and the method based on the local climate. This method allows defining new and future lines of work deepening on the dynamic of the light in contrast with the monitoring of the cases.

Low cost 3D global instability analysis and flow sensitivity based on dynamic mode decomposition and high-order numerical tools

We explore the recently developed snapshot-based dynamic mode decomposition (DMD) technique, a matrix-free Arnoldi type method, to predict 3D linear global flow instabilities. We apply the DMD technique to flows confined in an L-shaped cavity and compare the resulting modes to their counterparts issued from classic, matrix forming, linear instability analysis (i.e. BiGlobal approach) and direct numerical simulations. Results show that the DMD technique, which uses snapshots generated by a 3D non-linear incompressible discontinuous Galerkin Navier?Stokes solver, provides very similar results to classical linear instability analysis techniques. In addition, we compare DMD results issued from non-linear and linearised Navier?Stokes solvers, showing that linearisation is not necessary (i.e. base flow not required) to obtain linear modes, as long as the analysis is restricted to the exponential growth regime, that is, flow regime governed by the linearised Navier?Stokes equations, and showing the potential of this type of analysis based on snapshots to general purpose CFD codes, without need of modifications. Finally, this work shows that the DMD technique can provide three-dimensional direct and adjoint modes through snapshots provided by the linearised and adjoint linearised Navier?Stokes equations advanced in time. Subsequently, these modes are used to provide structural sensitivity maps and sensitivity to base flow modification information for 3D flows and complex geometries, at an affordable computational cost. The information provided by the sensitivity study is used to modify the L-shaped geometry and control the most unstable 3D mode.